Definition:Linear Operator/Vector Space
Jump to navigation
Jump to search
Definition
A linear operator on a vector space is a linear transformation from a vector space into itself.
Also known as
A linear operator in this context is also known as a linear function.
Also see
- Results about linear operators can be found here.
Sources
- 1955: John L. Kelley: General Topology ... (previous) ... (next): Chapter $0$: Algebraic Concepts
- 1974: Robert Gilmore: Lie Groups, Lie Algebras and Some of their Applications ... (previous) ... (next): Chapter $1$: Introductory Concepts: $1$. Basic Building Blocks: $4$. LINEAR VECTOR SPACE: Example $3$
- 1998: Yoav Peleg, Reuven Pnini and Elyahu Zaarur: Quantum Mechanics ... (previous) ... (next): Chapter $2$: Mathematical Background: $2.3$ Linear Operators and Matrices